Piecewise linear car-following modeling
Optimization and Control
2011-08-19 v2 Systems and Control
Abstract
We present a traffic model that extends the linear car-following model as well as the min-plus traffic model (a model based on the min-plus algebra). A discrete-time car-dynamics describing the traffic on a 1-lane road without passing is interpreted as a dynamic programming equation of a stochastic optimal control problem of a Markov chain. This variational formulation permits to characterize the stability of the car-dynamics and to calculte the stationary regimes when they exist. The model is based on a piecewise linear approximation of the fundamental traffic diagram.
Keywords
Cite
@article{arxiv.1107.5869,
title = {Piecewise linear car-following modeling},
author = {Nadir Farhi},
journal= {arXiv preprint arXiv:1107.5869},
year = {2011}
}
Comments
19 pages, 3 figures